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Finding the Fourth Proportional to 230,405.23, 317,962.74 and 128,427.85

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Solution

The fourth proportional to 230,405.23, 317,962.74 and 128,427.85 is: 177,232.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,405.23 : 317,962.74 = 128,427.85 : x
  2. Step 2: Convert to fraction form
    230,405.23/317,962.74 = 128,427.85/x
  3. Step 3: Cross multiply
    230,405.23x = 317,962.74 × 128,427.85
  4. Step 4: Simplify right side
    230,405.23x = 40,835,271,078.31
  5. Step 5: Solve for x
    x = 40,835,271,078.31/230,405.23
  6. Step 6: Final answer
    x = 177,232.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.